In this paper I apply a well known tension between cognitive and semantic aspects in Frege’s notion of sense to his treatment of indexicals. I first discusses Burge’s attack against the identification of sense and meaning, and Kripke’s answer supporting such identification. After showing different problems for both interpreters, the author claims that the tension in Frege’s conception of sense (semantic and cognitive) accounts for some shortcomings of both views, and that considering the tension helps in understanding apparently contradictory Fregean (...) claims about sameness of sense of sentences with indexicals. I conclude that the Fregean notion of sense, also in its cognitive aspect, cannot be reduced to linguistic meaning, and that the Fregean tension between two notions of sense may also explain the discussion Frege gives on the indexical “I”, proposing to develop a picture of indexicals as hidden complex demonstratives, as originally suggested by Burge. (shrink)